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A new kind of special function and its application |
| Fan Hong-Yi (范洪义)a, Wan Zhi-Long (万志龙)a, Wu Ze (吴泽)b, Zhang Peng-Fei (张鹏飞)b |
a Department of Material Science and Engineering, University of Science and Technology of China, Hefei 230026, China;
b Department of Modern Physics, University of Science and Technology of China, Hefei 230026, China |
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Abstract By virtue of the operator Hermite polynomial method and the technique of integration within the ordered product of operators we derive a new kind of special function, which is closely related to one- and two-variable Hermite polynomials. Its application in deriving the normalization for some quantum optical states is presented.
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Received: 27 February 2015
Revised: 06 May 2015
Accepted manuscript online:
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PACS:
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03.65.-w
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(Quantum mechanics)
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42.50.-p
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(Quantum optics)
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02.30.Gp
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(Special functions)
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| Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11175113). |
Corresponding Authors:
Fan Hong-Yi
E-mail: fhym@ustc.edu.cn
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Cite this article:
Fan Hong-Yi (范洪义), Wan Zhi-Long (万志龙), Wu Ze (吴泽), Zhang Peng-Fei (张鹏飞) A new kind of special function and its application 2015 Chin. Phys. B 24 100302
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Fan H Y and Jiang T F 2007 Mod. phys. Lett. B 21 475
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Fan H Y and Xu X F 2004 Opt. Lett. 29 1048
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Fan H Y and Zhan D H 2014 Chin. Phys. B 23 060301
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Fan H Y, Lou S Y, Pan X Y and Da C 2013 Acta Phys. Sin. 62 240301 (in Chinese)
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Fan H Y, Lu H L and Fan Y 2006 Ann. Phys. 321 480
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| [6] |
Fan H Y and Klauder J R 1994 Phys. Rev. A 49 704
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